The Chapter 7 The Mathematics of Maybe: Introduction to Probability Maths worksheet helps Class 9 CBSE Board students understand how probability is used to measure the chances of uncertain events. This worksheet includes practice questions based on random experiments, outcomes, events, favourable outcomes, probability scale, and real-life probability situations.
This worksheet is designed for students who want to improve their problem-solving skills through structured practice. It includes concept-based questions, application problems, and exam-level questions with detailed answers. Students can use this worksheet to revise the chapter and check their understanding step by step.
Students looking for more Worksheets can use chapter-wise practice materials to strengthen their learning. These Class 9 Worksheets help learners revise important concepts from different subjects, while Class 9 Maths Worksheets provide extra practice for improving mathematical accuracy and confidence.
By solving this Class 9 Maths Chapter 7 worksheet PDF, students will learn how to calculate probability using:
Probability of an Event = Number of Favourable Outcomes ÷ Total Number of Possible Outcomes
It helps students understand impossible events, certain events, equally likely outcomes, and probability values between 0 and 1.
Class 9 The Mathematics of Maybe: Introduction to Probability Worksheet with Answers PDF
The Class 9 Maths Chapter 7 The Mathematics of Maybe worksheet with answers PDF provides a simple way to practice probability concepts from the new NCERT Ganit Manjari syllabus. It includes different types of questions that help students apply formulas and understand the chance of events.
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This worksheet covers:
- Probability formula-based questions
- Probability scale problems
- Coin and dice probability questions
- Favourable and possible outcome questions
- Survey-based probability problems
- Real-life examples of probability
Students can download and solve this Class 9 Maths Chapter 7 PDF worksheet to prepare for school exams and improve their understanding before attempting textbook exercises.
The Mathematics of Maybe: Introduction to Probability Practice Questions
Level 1: Concept Check
Question 1:
Write the probability formula used to find the chance of an event.
Question 2:
State whether the following events are impossible, possible, or certain.
a) The sun will rise tomorrow.
b) Getting number 9 after rolling a normal dice.
c) Getting a head after tossing a coin.
Question 3:
What is the range of probability values?
Question 4:
A coin is tossed once. Write all possible outcomes.
Question 5:
A dice is rolled once. Find the probability of getting an even number.
Level 2: Application Practice
Question 6:
A bag contains 4 red balls, 3 blue balls, and 5 green balls. One ball is selected randomly. Find the probability of getting:
a) A green ball
b) A red ball
Question 7:
A dice is rolled once. Find the probability of getting:
a) A number greater than 4
b) A number less than 3
Question 8:
A box has cards numbered from 1 to 20. One card is selected randomly. Find the probability of selecting:
a) An even number
b) A multiple of 5
Question 9:
A survey of 50 students shows that 20 students like cricket, 15 like football, and 15 like badminton. Find the probability that a randomly selected student likes football.
Level 3: Exam Practice
Question 10:
Two coins are tossed together. Find the probability of getting exactly one head.
Question 11:
A school collected data from 100 students about their favourite subjects:
Maths = 40 students
Science = 35 students
English = 25 students
If one student is selected randomly, find the probability that the student prefers Science.
Question 12:
A dice is rolled 120 times, and number 6 appears 25 times. Find the experimental probability of getting number 6.
Question 13:
Explain the difference between theoretical probability and experimental probability with an example.
Answers and Explanations
Answer 1:
The probability formula is:
Probability of an Event = Number of Favourable Outcomes ÷ Total Number of Possible Outcomes
Answer 2:
a) Certain event because the sun rising tomorrow will definitely happen.
b) Impossible event because a normal dice contains only numbers from 1 to 6.
c) Possible event because a coin toss can result in either head or tail.
Answer 3:
The probability of any event always lies between 0 and 1.
0 ≤ P(E) ≤ 1
Answer 4:
Possible outcomes after tossing a coin:
Head (H), Tail (T)
Answer 5:
Even numbers on dice = 2, 4, 6
Favourable outcomes = 3
Total outcomes = 6
Probability = 3/6 = 1/2
Answer 6:
Total balls = 4 + 3 + 5 = 12
Probability of green ball = 5/12
Probability of red ball = 4/12 = 1/3
Answer 7:
Numbers greater than 4 = 5, 6
Probability = 2/6 = 1/3
Numbers less than 3 = 1, 2
Probability = 2/6 = 1/3
Answer 8:
Even numbers from 1 to 20 = 10
Probability = 10/20 = 1/2
Multiples of 5 = 5, 10, 15, 20
Probability = 4/20 = 1/5
Answer 9:
Students who like football = 15
Total students = 50
Probability = 15/50 = 3/10
Answer 10:
Possible outcomes:
HH, HT, TH, TT
Exactly one head = HT, TH
Probability = 2/4 = 1/2
Answer 11:
Students who prefer Science = 35
Total students = 100
Probability = 35/100 = 7/20
Answer 12:
Number of times 6 appears = 25
Total trials = 120
Experimental probability = 25/120 = 5/24
Answer 13:
Theoretical probability is calculated using possible outcomes before performing an experiment. Experimental probability is calculated using actual results after performing an experiment.
Important Topics Covered
The Class 9 Maths Chapter 7 The Mathematics of Maybe worksheet covers important probability concepts, including:
- Meaning of probability
- Random experiments
- Outcomes and events
- Sample space
- Favourable outcomes
- Total possible outcomes
- Probability formula
- Probability scale from 0 to 1
- Impossible and certain events
- Coin toss probability
- Dice probability problems
- Survey-based probability questions
- Difference between theoretical and experimental probability
Common Mistakes Students Should Avoid
Students should avoid these common mistakes while solving probability questions:
- Confusing favourable outcomes with total possible outcomes
- Writing probability values greater than 1
- Forgetting to simplify probability fractions
- Not listing the complete sample space before solving
- Mixing experimental probability with theoretical probability
- Ignoring important information given in word problems
Carefully reading the question and identifying the correct outcomes helps students solve probability problems accurately.
